Question Simplify the expression 71t2−6005 Evaluate t2×21030−6005Cancel out the common factor 30 t2×71−6005Solution 71t2−6005 Show Solution Factor the expression 71(t2−42035) Evaluate t2×21030−6005Cancel out the common factor 30 t2×71−6005Use the commutative property to reorder the terms 71t2−6005Solution 71(t2−42035) Show Solution Find the roots t1=−42035,t2=42035Alternative Form t1≈−205.024389,t2≈205.024389 Evaluate t2×21030−6005To find the roots of the expression,set the expression equal to 0 t2×21030−6005=0Cancel out the common factor 30 t2×71−6005=0Use the commutative property to reorder the terms 71t2−6005=0Move the constant to the right-hand side and change its sign 71t2=0+6005Removing 0 doesn't change the value,so remove it from the expression 71t2=6005Multiply by the reciprocal 71t2×7=6005×7Multiply t2=6005×7Multiply t2=42035Take the root of both sides of the equation and remember to use both positive and negative roots t=±42035Separate the equation into 2 possible cases t=42035t=−42035Solution t1=−42035,t2=42035Alternative Form t1≈−205.024389,t2≈205.024389 Show Solution